In this work, four problems for stochastic fractional pseudo-parabolic containing bounded
and unbounded delays are investigated. The fractional derivative and the stochastic noise …

We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝ N,
which is derived from a non-Newtonain fluid for a generalized second grade fluid with …

In this work, we consider a class of conformable fractional stochastic differential equations
driven by Rosenblatt process. By employing stochastic analysis, fractional calculus and fixed …

This paper is devoted to the existence of random attractors for rough partial differential
equations driven by nonlinear multiplicative Hölder rough paths with exponents in (1/3, 1/2] …

We study a rough difference equation on a discrete time set, where the driving Hölder rough
path is a realization of a stochastic process. Using a modification of Davie's approach (Cong …

We provide an analytic approach to study the asymptotic dynamics of rough differential
equations, with the driving noises of Hölder continuity. Such systems can be solved with …

We study semilinear rough stochastic partial differential equations as introduced in
Gerasimovičs and Hairer (2019)[31]. We provide L p (Ω)-integrable a priori bounds for the …

As the preferred mode of travel, the high-speed train (HST) and its healthy operation have
received extensive attention. In the long-term service of HST, the track irregularity and wheel …

We prove the exponential stability of the zero solution of a stochastic differential equation
with a Hölder noise, under the strong dissipativity assumption. As a result, we also prove …

In this paper we prove that under mild conditions a nonautonomous Young differential
equation possesses a unique solution which depends continuously on initial conditions. The …